The solutions (REF ) and (REF ), which would be referred as the magnetized Reissner-Nordstrom -Taub-NUT (MRNTN) solution, can be considered as the Taub-NUT extension of magnetized Reissner-Nordstrom black holes proposed in [1]}, and studied further in [2]}. As we expect for a black hole immersed in magnetic field, the area of horizon is just the same to that of the non-magnetized one [3]}, [2]}, [5]}. The similar situation is repeated here, where the radius of MRNTN black hole is just the same to that of RNTN spacetime, namely \(r_\pm = m \pm \sqrt{m^2-q^2+l^2}\) . Accordingly, the extremal conditions between the magnetized and non-magnetized RNTN black hole is also the same, i.e. \(m^2+l^2 = q^2\) .
